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ACT ACT-Math Exam Syllabus Topics:

SectionWeightObjectives
Integrating Essential Skills40–43%- Graphical Interpretation
  • 1. Reading and analyzing graphs and charts
    - Problem Solving
    • 1. Applied reasoning with arithmetic and algebra
      • 2. Multi-step word problems
        - Mathematical Modeling
        • 1. Translating real-world problems into equations
          • 2. Interpreting algebraic and graphical representations
            Preparing for Higher Math57–60%- Statistics & Probability
            • 1. Data interpretation
              • 2. Descriptive statistics (mean, median, mode)
                • 3. Probability fundamentals
                  - Algebra
                  • 1. Polynomials and factoring
                    • 2. Quadratic expressions and functions
                      • 3. Linear equations and inequalities
                        - Functions
                        • 1. Linear, quadratic, and piecewise functions
                          • 2. Domain and range
                            • 3. Function notation and evaluation
                              - Number & Quantity
                              • 1. Real and complex number systems
                                • 2. Vectors and matrices (basic concepts)
                                  - Geometry
                                  • 1. Plane geometry (triangles, circles, polygons)
                                    • 2. Transformations and symmetry
                                      • 3. Coordinate geometry

                                        ACT American College Testing: Math Section Sample Questions:

                                        1. The number of decibels, d, produced by an audio source can be modeled by the equation:

                                        where I is the sound intensity of the audio source and K is a constant.
                                        How many decibels are produced by an audio source whose sound intensity is 1,000 times the value of K?

                                        A) 40
                                        B) 100
                                        C) 30
                                        D) 4
                                        E) 10,000


                                        2. A rectangle with a perimeter of 30 centimeters is twice as long as it is wide.
                                        What is the area of the rectangle in square centimeters?

                                        A) 200
                                        B) 15
                                        C) 50
                                        D)

                                        E)


                                        3. If the statement "No penguins live at the North Pole" is true, which of the following statements must also be true?

                                        A) If Flipper lives at the North Pole, then he is not a penguin.
                                        B) All penguins live at the South Pole.
                                        C) If Flipper does not live at the North Pole, then he is a penguin.
                                        D) If Flipper is not a penguin, then he does not live at the North Pole.
                                        E) If Flipper is not a penguin, then he lives at the North Pole.


                                        4. FILL BLANK
                                        There are 750 students in the auditorium for an assembly. When the assembly ends, the students begin to leave. If 32% of the students have left so far, how many students are still in the auditorium?


                                        5. The sum of 2 positive numbers is 151. The lesser number is 19 more than the square root of the greater number.
                                        What is the value of the greater number minus the lesser number?

                                        A) 19
                                        B) 121
                                        C) 85
                                        D) 91
                                        E) 66


                                        Solutions:

                                        Question # 1
                                        Answer: C
                                        Question # 2
                                        Answer: C
                                        Question # 3
                                        Answer: A
                                        Question # 4
                                        Answer: Only visible for members
                                        Question # 5
                                        Answer: D

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